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DanielleElmas [232]

3 years ago

15

What is the circumference and area of a circle that has a radius of 12 ft? What would the arc length and area of the sector be i

f it has a central angle of 60∘ ? Round to the nearest tenth.
Circumference =

Area =

Arc Length =

Sector Area =

1 answer:

Effectus [21]3 years ago

4 0

Answer:

hi .......

Step-by-step explanation:

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jill received 45 ballots from the student council election. Mr. Alvarez, the advisor drops off quite a few more and jill now has

Vitek1552 [10]

Answer: 205

Step-by-step explanation:

Initially, Jill received ballots from the student council election = 45

After, dropping ballot by Mr. Alvarez, new ballots he has = 250

Hence, The Ballots drooping by Mr. Alvarez = new ballots Jill has - Initial ballots Jill has

= 250 - 45

= 205

Therefore, Mr. Alvarez drop off 205 ballots.

8 0

3 years ago

Blank plus 1/2 equals 8/10

Eduardwww [97]

Answer:

8/5

Step-by-step explanation:

Hope This Helps;)

8 0

3 years ago

Short Response To earn a varsity letter on the baseball team, you must play in 60% of the games. Derek played in 11 out of 18 ba

Alla [95]

Answer:

Yes, he earned a Varsity letter because he played in 61% of the games.

Step-by-step explanation:

To know the percent of games he played out of the total, we can do it by dividing the games he played by the total of games and multiply this by 100% to get the percent of games he played:

$\frac{11}{18}*100%$

We solve:

0.611111*100% = 61.11%

So we know that he earned a letter because he played in 61.11% of the games, more than he needed.

7 0

3 years ago

Lilian has 42 feet of yarn. She wants to cut the yarn into 8 equal parts. How long will each part be?

GrogVix [38]

Answer:

A. Five and two eighths feet.

Step-by-step explanation:

42 (feet of yarn) ÷ 8 (equal parts) = 5.25 (feet of yarn that each part is)

5.25 =

$5 \frac{1}{4}$

or

$5 \frac{2}{8}$

because 1/4 = 2/8.

Hope this helps!

3 0

3 years ago

Read 2 more answers

Find the probability that a randomly generated bit string of length 10 does not contain a 0 if bits are independent and if:a) a

lara31 [8.8K]

Answer:

A) 0.0009765625

B) 0.0060466176

C) 2.7756 x 10^(-17)

Step-by-step explanation:

A) This problem follows a binomial distribution. The number of successes among a fixed number of trials is; n = 10

If a 0 bit and 1 bit are equally likely, then the probability to select in 1 bit is; p = 1/2 = 0.5

Now the definition of binomial probability is given by;

P(K = x) = C(n, k)•p^(k)•(1 - p)^(n - k)

Now, we want the definition of this probability at k = 10.

Thus;

P(x = 10) = C(10,10)•0.5^(10)•(1 - 0.5)^(10 - 10)

P(x = 10) = 0.0009765625

B) here we are given that p = 0.6 while n remains 10 and k = 10

Thus;

P(x = 10) = C(10,10)•0.6^(10)•(1 - 0.6)^(10 - 10)

P(x=10) = 0.0060466176

C) we are given that;

P((x_i) = 1) = 1/(2^(i))

Where i = 1,2,3.....,n

Now, the probability for the different bits is independent, so we can use multiplication rule for independent events which gives;

P(x = 10) = P((x_1) = 1)•P((x_2) = 1)•P((x_3) = 1)••P((x_4) = 1)•P((x_5) = 1)•P((x_6) = 1)•P((x_7) = 1)•P((x_8) = 1)•P((x_9) = 1)•P((x_10) = 1)

This gives;

P(x = 10) = [1/(2^(1))]•[1/(2^(2))]•[1/(2^(3))]•[1/(2^(4))]....•[1/(2^(10))]

This gives;

P(x = 10) = [1/(2^(55))]

P(x = 10) = 2.7756 x 10^(-17)

3 0

3 years ago